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Question 90Asked in DSSSB TGT Computer Science (Technical), 1 Aug 2021, Shift 1

In a bulb factory, machines P, Q and R manufacture respectively 25%, 35% and 40% of the total. Of their output 5, 4 and 2 percent respectively are defective…

In a bulb factory, machines P, Q and R manufacture respectively 25%, 35% and 40% of the total. Of their output 5, 4 and 2 percent respectively are defective bulbs. A bulb is drawn at random and it is found to be defective. What is the probability that it was manufactured by machine Q?
  1. A0.55
  2. B0.45
  3. C0.31
  4. D0.41
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Correct answer: (D) 0.41

Explanation

P(defective) = 0.25×0.05 + 0.35×0.04 + 0.40×0.02 = 0.0125 + 0.014 + 0.008 = 0.0345. By Bayes' theorem, P(Q | defective) = 0.014/0.0345 ≈ 0.41.

From DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 1

This is question 90 of DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 1. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.